Answer:

To understand why the correct answer is option 'A', let's break down the sentence and analyze the grammar and meaning behind it.

The sentence is: "I _____ rather die than beg."

Understanding the sentence structure:
- The subject of the sentence is "I," referring to the speaker.
- The verb is missing and needs to be filled in the blank.
- The phrase "rather die than beg" is an idiomatic expression, meaning the speaker strongly prefers death over begging.

Choosing the correct option:
a) would
b) can
c) will
d) must

Among the given options, the most appropriate verb to complete the sentence is "would." Here's why:

1. Modal Verb 'Would':
- "Would" is a modal verb used to express preference, desire, or a hypothetical situation.
- In this sentence, the speaker is expressing their preference to die rather than beg.
- The use of "would" indicates the speaker's hypothetical choice.

2. The Conditional Nature of the Statement:
- The sentence contains a conditional statement where the speaker is explaining their preference in a hypothetical situation.
- The speaker is not saying they are currently dying or begging but expressing their choice if faced with such a situation.

Conclusion:
Given the context and the idiomatic expression used in the sentence, the correct verb to complete the sentence is "would." This choice accurately reflects the speaker's strong preference to die rather than beg in a hypothetical situation.